{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook refers to the following blog post: [Matplotlib: Pyplot by Example](http://queirozf.com/entries/matplotlib-pyplot-by-example)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:50.237168Z",
     "start_time": "2021-06-29T02:59:49.923992Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('3.6.9', '1.19.0', '3.2.2')"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import matplotlib\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from platform import python_version\n",
    "\n",
    "python_version(), np.__version__,matplotlib.__version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:52.514318Z",
     "start_time": "2021-06-29T02:59:52.508595Z"
    }
   },
   "outputs": [],
   "source": [
    "# with this, you don't need to call plt.show()\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:52.899127Z",
     "start_time": "2021-06-29T02:59:52.894112Z"
    }
   },
   "outputs": [],
   "source": [
    "# for reproducibility\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## sample data generation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:53.861928Z",
     "start_time": "2021-06-29T02:59:53.858715Z"
    }
   },
   "outputs": [],
   "source": [
    "x = np.linspace(0.0,100,50)\n",
    "y = np.random.uniform(low=0,high=10,size=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## default arguments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:54.760484Z",
     "start_time": "2021-06-29T02:59:54.596693Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f3abc7a1b00>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Change size of figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:55.314065Z",
     "start_time": "2021-06-29T02:59:55.177535Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.scatter(x,y)\n",
    "fig = plt.gcf()\n",
    "fig.set_size_inches(8,3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Save plot to file"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:55.935259Z",
     "start_time": "2021-06-29T02:59:55.740481Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.scatter(x,y)\n",
    "\n",
    "plt.savefig('out.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multiple subplots in the same figure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:57.131246Z",
     "start_time": "2021-06-29T02:59:56.609517Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "axes[0][0].scatter(x,y,c='red',marker='+')\n",
    "\n",
    "axes[0][1].bar(x,y)\n",
    "\n",
    "axes[1][0].scatter(x,y,marker='x')\n",
    "\n",
    "axes[1][1].barh(x,y)\n",
    "axes[1][1].set_title('Plot 4',size=14)\n",
    "\n",
    "plt.subplots_adjust(wspace=0.25, hspace=0.25)\n",
    "\n",
    "fig.set_size_inches(6,6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:57.736702Z",
     "start_time": "2021-06-29T02:59:57.206609Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x432 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "fig, axes = plt.subplots(2,2)\n",
    "\n",
    "axes[0][0].scatter(x,y,c='red',marker='+')\n",
    "\n",
    "axes[0][1].bar(x,y)\n",
    "\n",
    "axes[1][0].scatter(x,y,marker='x')\n",
    "\n",
    "axes[1][1].barh(x,y)\n",
    "axes[1][1].set_title('Plot 4',size=14)\n",
    "\n",
    "plt.subplots_adjust(wspace=0.50, hspace=1.0)\n",
    "\n",
    "fig.set_size_inches(6,6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set figure title and font size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:58.297265Z",
     "start_time": "2021-06-29T02:59:58.139244Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0.98, 'IMAGE TITLE HERE')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.scatter(x,y)\n",
    "\n",
    "fig = plt.gcf()\n",
    "\n",
    "fig.suptitle('IMAGE TITLE HERE', fontsize=18)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## set figure title and font size for single axis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T02:59:59.655111Z",
     "start_time": "2021-06-29T02:59:59.500262Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "x = np.linspace(0.0,100,50)\n",
    "y = np.random.uniform(low=0,high=10,size=50)\n",
    "\n",
    "plt.scatter(x,y)\n",
    "\n",
    "# get reference to the current axis\n",
    "ax = plt.gca()\n",
    "\n",
    "ax.set_title('title for this axis only', fontsize=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Change legend text and location"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:01.340373Z",
     "start_time": "2021-06-29T03:00:01.180119Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.legend(['Example legend'],loc='upper center')\n",
    "\n",
    "plt.gcf().set_size_inches(7,5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Change tick label rotation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:10.869163Z",
     "start_time": "2021-06-29T03:00:10.717477Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.plot(x,y)\n",
    "\n",
    "# rotating labels on the xaxis\n",
    "plt.xticks(rotation=60)\n",
    "\n",
    "# y axis\n",
    "plt.yticks(rotation=60)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Set axis labels and fontsize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:15.505147Z",
     "start_time": "2021-06-29T03:00:15.332564Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.xlabel('time (s)',color='red',fontsize=30)\n",
    "plt.ylabel('temperature (C)', fontsize=15)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Set y-axis, x-axis limits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-30, 130)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AhYIpZoC4pQJaFoD1uU62zHR6YQzA7xNCfvdfa8ciqR4DyDVUBObQSEvo0jYX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\nVAAURVE6FBUARVGUDuX/B+IxDugHVox7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f096415e128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.plot(x,y)\n",
    "\n",
    "plt.ylim(-5,15)\n",
    "\n",
    "plt.xlim(-30,130)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Set tick frequency"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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xtIJSigsbJV1nN2K+oNqhBw0Q8wMjVdDjPIepbALX9sSuY/8MKZsOjSDA7JFy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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f096413a4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# clear current figure\n",
    "plt.clf()\n",
    "\n",
    "plt.plot(x,y)\n",
    "\n",
    "# make the limits a bit larger so that we can see the results\n",
    "plt.ylim(0,10)\n",
    "plt.xlim(0,100)\n",
    "\n",
    "# tell pyplot to write a x-axis tick every 5 units\n",
    "plt.xticks(np.arange(0, 100, 5))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## gridlines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:26.231856Z",
     "start_time": "2021-06-29T03:00:26.074962Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# generate sample data\n",
    "x = np.linspace(0.0,100,50)\n",
    "y = np.random.uniform(low=0,high=10,size=50)\n",
    "\n",
    "plt.clf()\n",
    "plt.gca().grid(True)\n",
    "\n",
    "# select both y axis and x axis\n",
    "gridlines = plt.gca().get_xgridlines() + plt.gca().get_ygridlines()\n",
    "\n",
    "# choose line width\n",
    "line_width = 0.7\n",
    "\n",
    "for line in gridlines:\n",
    "    line.set_linestyle(':')\n",
    "    line.set_linewidth(line_width)\n",
    "    \n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:28.328139Z",
     "start_time": "2021-06-29T03:00:28.160643Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "plt.clf()\n",
    "\n",
    "# generate sample data\n",
    "x = np.linspace(0.0,100,50)\n",
    "y = np.random.uniform(low=0,high=10,size=50)\n",
    "\n",
    "plt.gca().grid(True, linewidth=1.0, linestyle=':')\n",
    "\n",
    "plt.plot(x,y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:31.700714Z",
     "start_time": "2021-06-29T03:00:31.680003Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_value_labels(axis):\n",
    "\n",
    "    rects = axis.patches\n",
    "\n",
    "    # For each bar: Place a label\n",
    "    for rect in rects:\n",
    "\n",
    "        # Get X and Y placement of label from rect.\n",
    "        y_value = rect.get_height()\n",
    "        x_value = rect.get_x() + rect.get_width() / 2\n",
    "\n",
    "        label = '{:.2f}'.format(y_value)\n",
    "        \n",
    "        # Vertical alignment for positive values\n",
    "        va = 'bottom'\n",
    "\n",
    "        # If value of bar is negative: Place label below bar\n",
    "        if y_value < 0:\n",
    "            # Invert space to place label below\n",
    "            space *= -1\n",
    "            # Vertically align label at top\n",
    "            va = 'top'\n",
    "\n",
    "        # Create annotation\n",
    "\n",
    "        axis.annotate(label, (x_value, y_value), \n",
    "                      xytext=(0, 2), \n",
    "                      textcoords=\"offset points\", \n",
    "                      ha='center', \n",
    "                      rotation=45, \n",
    "                      va=va)           "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:32.998914Z",
     "start_time": "2021-06-29T03:00:32.790659Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wh/gHTbEUf3DDDTeQlZXFihUrAAgLCyMyMpL09HRycnJKJIOKWnzm/CmWCQkJvPTSS0yZMkVTLMX1tm7dys6dO/nqq69o3bo1TZo0YcSIEdx///18+umnTJw4kYoVKzJp0qQSyaOhD/E5TbGU0iQ1NZUhQ4Zw6623smXLFkaPHs3zzz9PfHw8Bw4cIDo6GoDIyEhq1KhRIplU1OJzmmIppUVGRgYDBw5kypQptGjRgilTpjBr1ixat25N/fr1i9e9f+utt0hJSWHGjBklkktDHyIihY4ePcrQoUNp2bIlxhj+9Kc/sWXLluLzLfn5+eTk5JCenk5SUlLx7CZf0xG1iEihuLg4Dh48WPz5TTfdRHBwcPFc/8OHDxMREcH06dOLbypcElTU4nWaCy+l2fknu8+dO8e+ffvIy8tj6tSpzJ49m1mzZpXIlLzzqahFpMy62MJhRYKDg4mMjGTUqFEsWLCAhIQEKleuXOI5VdQiUiZdbOEwKLgGwBhDhQoVOHz4MMnJycydO7fExqR/TScTRaTMKVo47MMPP+Sjjz4iKCiIHTsKbmCVl5f3i2UNOnXqxLx58xwradARtYiUQZ7emzUsLIwXXnjB6bg6ohaRssfTe7O6ZbkDHVGLSJlWGhYO0xG1iJRZpWXhMB1Ri0iZVVruzaqiFpEyz+0Lh6moRaTMc/vCYRqjFhFxOR1Ri0iZU9rWo9ERtYiIy6moRURcTkUtIuJyKmoREZdTUYuIuJyKWkTE5VTUIiIud8miNsZUNMZsMsZ8bozZZox5uSSCiYhIAU8ueDkDxFprfzLGBAKfGGPSrLXpPs4mIiJ4UNS2YB3Anwo/DSz8ZS/+J0RExJs8GqM2xgQYYz4DjgDLrbUbL/CY3saYDGNMRlZWlrdzioiUWR4VtbU2z1p7E1AXaGGMueECj5lorY221kbXrFnT2zlFRMqsy5r1Ya39EfgYiPNNHBER+TVPZn3UNMZULfw4GLgT+NLXwUREpIAnsz4igCnGmAAKin2WtXaRb2OJiEgRT2Z9fAHcXAJZRETkAnRlooiIy6moRURcTkUtIuJyKmoREZdTUYuIuJyKWkTE5VTUIiIup6IWEXE5FbWIiMupqEVEXE5FLSLicipqERGXU1GLiLicilpExOVU1CIiLqeiFhFxORW1iIjLqahFRFxORS0i4nIqahERl1NRi4i4nIpaRMTlVNQiIi6nohYRcTkVtYiIy6moRURcTkUtIuJylyxqY0w9Y8zHxpjtxphtxpj+JRFMREQKlPfgMeeAZ6y1m40xVYBMY8xya+12H2cTERE8OKK21h601m4u/PgEsAOo4+tgIiJS4LLGqI0x9YGbgY0X+F5vY0yGMSYjKyvLO+lERMTzojbGhABzgb9ba4//+vvW2onW2mhrbXTNmjW9mVFEpEzzqKiNMYEUlHSKtXaebyOJiMj5PJn1YYAEYIe19k3fRxIRkfN5ckQdA3QHYo0xnxX+6ujjXCIiUuiS0/OstZ8ApgSyiIjIBejKRBERl1NRi4i4nIpaRMTlVNQiIi6nohYRcTkVtYiIy6moRURcTkUtIuJyKupSIi8vz+kIIuIQFXUpsH79elJTUwHIz893OI2IO2zcuJG9e/c6HaNEqKhdbunSpbRv355nnnkGgHLl9F8mkpaWxv333893331X/G7TWutwKt/RVu9iixYt4qWXXuKTTz6hdevWjBkzxulIIo6y1nL48GFefvllpk6dStu2bTl37hzg3+82Pblnojjg0KFDvP/++/zjH/+gefPmtGrViq1btzodS8RRxhhCQkJo3Lgxd9xxBwcPHuTZZ5+lUqVKXHfdddx///00aNDA6ZhepyNqlwoLCyMxMZE77rgDgHvvvZclS5aQkJDgcDIRZ1WsWJFdu3YxcuRIBg0axO23386dd97J6dOnSU5O5syZM343DKKidpnPP/+cr7/+mj179lCzZk2stZw7d466desyevRoVq9ezcGDB52OKVKiPv/8c7755hu2bt1KQEAAI0aMYMeOHXz//ff07t2bLl260Lp1a3bv3k2FChUouN+J/1BRu8iSJUuIj48nJSWF+Ph4PvzwQ4wxlC9fMELVoEEDTpw4we7du50NKlKCiraL5ORk/vKXvzBp0iRat25Nhw4d2Lp1K6NHjwbghx9+ICsri+zsbIcTe5/GqF3i6NGjvPLKK7zzzjt06NCBdu3aERsbC8CTTz4JQKNGjWjYsCGDBg1i3bp1AH535CByvottF+XLl+fxxx+nbt26DB8+nG3btrFhwwbmzJlDWFiY07G9TkXtElWqVKFx48bFJ0LatWvHgw8+yPDhwwkODubRRx8FYMSIERw5ckQFLWXChbaL//iP/+C5554jKCiIrl270q5dO/bt20dwcDC1atVyOLFvaOjDJSpUqMDZs2cZPHgwqampPP3000RFRZGcnMzcuXP58ccfyc/PJyAggIiICKfjipSIC20XjRs3Jjk5mVmzZnH06FECAgK45ppr/LakQUXtCkXzP6dMmcLVV19Neno6Z8+e5fnnn6dVq1aEhoZSqVIlXewiZcpvbRetW7cmNDSU0NBQh1OWDA19OGTnzp0cO3aM6OjoXxTwqFGjfvG4pKQk9u3bx8mTJwkKCirpmCIlStvFhamoHTBv3jxeeOEF6tSpQ506dYiOjuaJJ54gNDSUvLw8AgICOH36NMuWLePll19m/vz5VKtWzenYIj6l7eLi9F66hOXm5jJz5kwSEhJYuXIlnTt3Zu/evYwaNYrs7GwCAgKAgkn9DRo0YM2aNTRp0sTh1OIt/nYhhrdou/htKmoHHD9+nK+//hqABx54gPvuu4/c3FymT58OwKZNm9iyZQvXX389devWdTKqeMHGjRtZs2YNUDCdUmV9YdouLk5FXcICAwMZOHAg8+bNY926dZQrV47bbruNm266ibVr13Lq1Cn+53/+h5o1azodVbwgNTWVuLg4hg0bxsKFCwGV9YVou/htGqP+Hay1VzSfuU2bNuzcuZOpU6diraVt27Z069aNiRMncuDAAQYMGOCDtFKSiop4xYoVDBo0iKZNm/Lee+8B0KlTp+Ky1nz4n2m7uDgV9RXIzc0lMDDwijeyihUr8uijj2KMYeTIkXz55ZdUqFCBrKwsQkJCvJxWnPDjjz9SrVo1/vnPf3LixAkCAgL44YcfmDBhAvn5+XTu3BljDOfOnSteIqCs03ZxcZf8CTHGTALuA45Ya2/wfSR3W7BgAWlpaeTk5DB48GAiIiKoXr36ZT9PtWrV+Otf/0pUVBQTJkygYsWKJCcnU7t2bR+klpK0dOlSPvjgA959913Cw8OpWrUqUHAkba1l4sSJREREkJ2dTbly5ejQoYPDid1D28WFebIrTwTeBZJ8G8X9tm7dSt++fZk6dSpLlixh3LhxNGjQgIcffpg6depc9vMFBQXRvn172rZtizFGF7T4gTVr1tCnTx8mTJhAeHj4L74XFhZGp06dqFWrFo888gjHjh1j06ZNDiV1L20X/9cl/wWstWuBYyWQxfUOHz5M27ZtiY2N5Y033qBjx47s27ePOXPm8OOPP17x8wYEBOiH0U/s3LmTIUOGcPfdd3Po0CHWr1/P2rVri79ftWpVvvzyS/Ly8tiwYQMNGzZ0MK27abv4mf4VPHD69GkAoqOj2bt3L/Pnzwfgvvvu4/bbb2fbtm0cPXrUyYjiEkFBQWRmZvLdd9/RsWNHZsyYQffu3YuX4szLy+Orr75i4cKFREVFOZxWSguvFbUxprcxJsMYk5GVleWtp3XcqlWrSEhI4NSpU4SFhfH444+zfv364nmxnTp1omLFirz99tsOJxU3aN68OcHBwaSkpNC9e3fGjh1LamoqEyZMYPHixQQEBDBu3DiaNm3qdFQpRbx2utlaOxGYCBAdHe0Xk0SXLFnC4MGDGTduHMHBwQDExsZy5MgRFixYwOHDh+nSpQtNmzZlx44d5OfnX/KtWv3nFvss7+7X7/XZc4tnGjduTNWqVVmwYAHt2rXjp59+onHjxjz00EOcOXMGuPJpnf5K28SlaV7QRXzxxRfEx8fzwQcf0KZNG44ePYq1ltDQUJ599llSUlJ44403mDlzJps2bWLx4sUaTytjfr2AUNFlzq+++ipBQUHs2bOHsWPHEhISwowZM4pvAKGSlsvlyfS86UA74CpjzD5guLXW7++wevr0abp06cKhQ4fIyMhg2LBh1KpViw0bNvDqq6/Ss2dPHn74YbZv3069evX4wx/+4HRkKUG/tYAQwIsvvsiqVavYtWsX27dvJzU1lT/+8Y8Op5bS6pJFba2NL4kgbtOiRQtyc3OZPXs2w4YNY8SIEfTu3ZsNGzYQHx9Po0aNaNq0KS1btnQ6qpSw8xcQiomJYe7cuaSnpzNq1CgGDx5cfCuo2NhYYmNjdVGL/G56r34BRQuWx8TE8Mgjj5CQkEC/fv0ICAigTZs2xMXFUblyZYdTipMutYDQp59+yubNmwGKh0RErpSKutDOnTvZsGEDubm5v1gwp1WrVnTq1AkoGFucOXMm//rXv4pPLkrZ48kCQp988knxcJjGpOX30vsxfnu80VpLUFAQ586dY9q0aYwePZrp06df0ZWI4j+0gJCUpDJf1J6ON5YvX54qVaowb948/vSnPzmcWpymBYSkJGnoA88WLN+xYwcPPPCASlqKFS0gNHjwYFatWsXHH3+sBYTEJ8p8UXu6YHnRCmjiX37vAv5FCwilpKQwadIkbr75Zi8lE/lZmS9qKBhvvOuuu5g6dSpr164lICCAbt26ceDAgeLxxoiICKdjihdlZmaSm5vrtRN9WkBIfKnMj1GDxhvLmrS0NHr16sWMGTNo06aN7rbiBecvn+DJUgpyeVTUhbRgedmwd+9ehgwZQkpKCm3bti2+GEUlfeXS0tJYuXIl2dnZTJw4USXtAyrq82jBcv8XGBhIkyZNaN++PQcOHGDkyJHk5eURGxtL69atPVoKwFeLCJXGBYQWL17M0KFDGTlyJGPHjiU+Pp4ZM2Y4HcvvqIkuQOON/uuqq65iz549TJo0iT59+hAVFcW1117L+vXrWb58OfD7TzCWFd9//z3jx4/nn//8J/fccw//+Mc/CA0NJTExkWPHjunf0YvURuL3PvvsM3bs2MGWLVsoX748Tz31FBkZGVSuXJm+ffsyaNAgoqKi+PjjjwFdSeip0NBQxo8fz5133snRo0d58MEHCQwMJD09nSeffJJ///vfTkf0Gypq8WtpaWl06tSJ9957j/j4eKZNm0bHjh2JiIjgs88+Izk5GYAqVapw+vRpcnJyHE7sfkU7vm+//bb4Ct1Tp06RkJDAuHHjGD9+PKGhobqZhheV+TFqLVrun6y1nDx5knfeeYdx48bx5z//mQ0bNvDYY49x7tw5Bg0aRN26dUlMTGT58uVs2LCBuXPnUqlSJaeju1paWhq9e/emc+fOrF69moEDB9KzZ0/q1atHvXr1imd8tGzZUren86IyX9Tin4wxhISEEB0dzfHjx8nNzaVVq1ZMnz6dRx55hKCgIHr06EGXLl348ssvef311zVX/jdcaMeXnp7OY489xpkzZ+jbty8A5cqVY8qUKSQkJJCUlORwav+hoQ/xa+Hh4axcuZJTp04BBeuMT506ldGjR/P1119TuXJlmjVrppK+hAvt+G699VZmzJjBG2+8QWJiIgDLly8nKSmJyZMn6+a9XqSiFr9UNOOgX79+5OTk0LdvX7Kzs8nNzeW2226jSZMmBAYGOpyy9Pn1ji86OpqpU6fy7rvvsn//fm6++WZmz57NjTfe6HBS/6KiFr9x/priRTd/AJg5cyb5+fn8/e9/Z9KkSYwbN441a9boriuXwZMd39mzZ7nqqquoXr26w2n9j4pa/MK8efPo3Lkzw4YNo1evXowbN47jx48Xf3/69Om0adOGrKwsVq9ezYIFC6hbt66Did3vcnd8eofiOzqkkFLP0zXFe/bsCcCZM2eoUKGCk5Fd71I3750+fTqTJk3iwIEDfP7559rx+ZiOqMUveLKmeNE9DIOCghzLWRqcv+NbuXIlnTt3Zu/evYwaNYrs7Ozix/Xs2ZNhw4aRnJxM48aNHUzs/1TUUup5uhWJzggAAARJSURBVKa47mHoOe343EVFLX7BkzXFw8PDnY5ZKmjH5z4aoxa/oDXFvUs373UXFbX4Da0p7j3a8bmLilr8itYU9x7t+NxDRS1+KSAgwOkIfkE7PndQUYvIJWnH5yyPdo/GmDhjzE5jzDfGmOd8HUpERH52ySNqY0wAMA64E9gHfGqMWWCt3e7rcCKe0D0Mxd95MvTRAvjGWvstgDFmBtAZUFGL+CHdTMN9zKVuQGmMeQiIs9Y+Wfh5d6CltfZvv3pcb6B34acNgZ3ej/t/XAX4820k/P31gf+/Rn9/feD/r7GkXt811tqaF/qG104mWmsnAhO99XyeMMZkWGujS/LvLEn+/vrA/1+jv78+8P/X6IbX58nJxP1AvfM+r1v4NRERKQGeFPWnwHXGmGuNMUFAV2CBb2OJiEiRSw59WGvPGWP+BiwFAoBJ1tptPk/mmRIdanGAv78+8P/X6O+vD/z/NTr++i55MlFERJyl60FFRFxORS0i4nKltqj9+bJ2Y0w9Y8zHxpjtxphtxpj+TmfyBWNMgDHmX8aYRU5n8QVjTFVjzBxjzJfGmB3GmFZOZ/ImY8yAwp/PrcaY6caYik5n+r2MMZOMMUeMMVvP+1p1Y8xyY8zXhb9XK+lcpbKoz7us/R4gCog3xkQ5m8qrzgHPWGujgFuB/+dnr69If2CH0yF8aAywxFp7PdAUP3qtxpg6wNNAtLX2BgomGnR1NpVXJAJxv/rac8BKa+11wMrCz0tUqSxqzrus3Vp7Fii6rN0vWGsPWms3F358goINvI6zqbzLGFMXuBf40OksvmCMCQPaAgkA1tqz1tofnU3ldeWBYGNMeaAScMDhPL+btXYtcOxXX+4MTCn8eApwf4mGovQWdR1g73mf78PPiqyIMaY+cDOw0dkkXvc2MBjIdzqIj1wLZAGTC4d3PjTGVHY6lLdYa/cDo4E9wEEg21q7zNlUPlPbWnuw8ONDQInfOaG0FnWZYIwJAeYCf7fWHnc6j7cYY+4DjlhrM53O4kPlgVuA9621NwMnceAts68UjtN2pmCH9AegsjHmMWdT+Z4tmM9c4nOaS2tR+/1l7caYQApKOsVaO8/pPF4WA/zZGLObgmGrWGNMsrORvG4fsM9aW/ROaA4Fxe0v7gC+s9ZmWWtzgXlAa4cz+cphY0wEQOHvR0o6QGktar++rN0YYygY29xhrX3T6TzeZq193lpb11pbn4L/u1XWWr86GrPWHgL2GmMaFn6pA/61NPAe4FZjTKXCn9cO+NHJ0l9ZADxe+PHjwP8v6QCl8lZcLr+s3RtigO7AFmPMZ4Vfe8Fam+pgJrl8/wmkFB5MfAv0cDiP11hrNxpj5gCbKZil9C9ccKn172WMmQ60A64yxuwDhgOvA7OMMb2AfwNdSjyXLiEXEXG30jr0ISJSZqioRURcTkUtIuJyKmoREZdTUYuIuJyKWkTE5VTUIiIu9794lSwIOGvhfAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# generate sample data\n",
    "x = np.linspace(0.0,10,11)\n",
    "y = np.random.uniform(low=0,high=6,size=11)\n",
    "\n",
    "# plot bar plot\n",
    "plt.bar(x,y)\n",
    "plt.ylim(0,6)\n",
    "\n",
    "# call the function we defined\n",
    "plot_value_labels(plt.gca())\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### plot a histogram for values in an numpy array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2021-06-29T03:00:37.396820Z",
     "start_time": "2021-06-29T03:00:37.234122Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# generate sample data following a normal distribution\n",
    "values = np.random.normal(size=100)\n",
    "# array([ 0.49671415, -0.1382643 ,  0.64768854,...\n",
    "\n",
    "# see all examples in the API link\n",
    "plt.hist(values,rwidth=0.9,bins=[-3,-2,-1,0,1,2,3])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## twin axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HhAmqzZqZz3Lx4vj2UVio2r27aXEWFDh7fBZnyM1V7dzZPPbuTfbRxAzOtiieU7i+3O+j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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f0963e0bba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "\n",
    "np.random.seed(10)\n",
    "\n",
    "xs = [1,2,3,4,5,6,7,8,9,10,11,12]\n",
    "ys_bars = np.random.normal(loc=3.0,size=12)\n",
    "ys_lines = np.random.normal(loc=5.0,size=12,scale=0.5)\n",
    "\n",
    "# this is the axis on the left\n",
    "ax1=plt.gca()\n",
    "ax1.bar(xs,ys_bars,color='green')\n",
    "\n",
    "# order is important when setting ticks.\n",
    "# Ticks must be set after the plot has been drawn\n",
    "ax1.set_yticks(np.arange(0,11,1))\n",
    "ax1.set_yticklabels(np.arange(0,11,1),color='green')\n",
    "\n",
    "# create the 'twin' axis on the right\n",
    "ax2=ax1.twinx()\n",
    "\n",
    "# plot the same numbers but multiplied by 20\n",
    "ax2.plot(xs,ys_lines*20,color='red')\n",
    "\n",
    "# set the ticks and ticklabels for the twin axis\n",
    "ax2.set_yticks(np.arange(0,131,10))\n",
    "ax2.set_yticklabels(np.arange(0,131,10),color='red')\n",
    "\n",
    "# set ticks for the x axis (bottom)\n",
    "ax2.xaxis.set_ticks(xs)\n",
    "\n",
    "# add grid (optional)\n",
    "ax1.grid(True,linewidth=0.9,linestyle=':')\n",
    "ax2.grid(True,linewidth=0.9,linestyle=':')\n",
    "\n",
    "plt.gcf().set_size_inches(6,4)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## align axis ticks and labels on twin axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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R45NPpAwJkfLss6WsrPS/Z+lSrSvLD7PijHRt9PJ0cDz4oPb/MDY2sJ4AQR93PRmuokhN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\nuT4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f09642202e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "np.random.seed(10)\n",
    "xs = [1,2,3,4,5,6,7,8,9,10,11,12]\n",
    "ys_bars = np.random.normal(loc=3.0,size=12)\n",
    "ys_lines = np.random.normal(loc=5.0,size=12,scale=0.5)\n",
    "\n",
    "# this is the axis on the left\n",
    "ax1=plt.gca()\n",
    "ax1.bar(xs,ys_bars,color='green')\n",
    "\n",
    "num_ticks = 11\n",
    "\n",
    "ax1.set_yticks(np.arange(0,11,1))\n",
    "ax1.yaxis.set_major_locator(plt.LinearLocator(numticks=num_ticks))\n",
    "ax1.set_yticklabels(['{:.0f}'.format(n) for n in ax1.get_yticks()],color='green')\n",
    "# create the 'twin' axis on the right\n",
    "ax2=ax1.twinx()\n",
    "\n",
    "# plot the same numbers but multiplied by 20\n",
    "ax2.plot(xs,ys_lines*20,color='red')\n",
    "# set the ticks and ticklabels for the twin axis\n",
    "\n",
    "ax2.set_yticks(np.arange(0,130,10))\n",
    "ax2.yaxis.set_major_locator(plt.LinearLocator(numticks=num_ticks))\n",
    "ax2.set_yticklabels(['{:.0f}'.format(n) for n in ax2.get_yticks()],color='red')\n",
    "\n",
    "# set ticks for the x axis (bottom)\n",
    "ax2.xaxis.set_ticks(xs)\n",
    "\n",
    "# add grid (optional)\n",
    "# ax1.tick_params(axis='y')\n",
    "\n",
    "ax1.grid(True,linewidth=0.9,linestyle=':')\n",
    "ax2.grid(True,linewidth=0.9,linestyle=':')\n",
    "\n",
    "plt.gcf().set_size_inches(6,4)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
